443068416 has 312 divisors, whose sum is σ = 1564022304. Its totient is φ = 117964800.

The previous prime is 443068411. The next prime is 443068441. The reversal of 443068416 is 614860344.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (443068411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386766 + ... + 4386866.

It is an arithmetic number, because the mean of its divisors is an integer number (5012892).

Almost surely, 2^443068416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782011152).

443068416 is an abundant number, since it is smaller than the sum of its proper divisors (1120953888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

443068416 is a wasteful number, since it uses less digits than its factorization.

443068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 443068416 is about 21049.1903882311. The cubic root of 443068416 is about 762.3544344897.

The spelling of 443068416 in words is "four hundred forty-three million, sixty-eight thousand, four hundred sixteen".